On the geography of simply connected nonspin symplectic 4-manifolds with nonnegative signature

DOI10.1016/j.topol.2016.03.026zbMath1344.57010arXiv1506.00230OpenAlexW2963086282MaRDI QIDQ281694

Sümeyra Sakallı, Anar Akhmedov

Publication date: 11 May 2016

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.00230

zbMATH Keywords

4-manifoldsexotic 4-manifoldsgeography of symplectic 4-manifolds

Mathematics Subject Classification ID

Applications of global analysis to structures on manifolds (57R57) Differentiable structures in differential topology (57R55) Fundamental group, presentations, free differential calculus (57M05)

Related Items (4)

Kodaira fibrations and beyond: methods for moduli theory ⋮ Complex ball quotients and new symplectic \(4\)-manifolds with nonnegative signatures ⋮ Abelian branched covers of rational surfaces ⋮ Geography of simply connected nonspin symplectic 4-manifolds with positive signature. II

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Simply-connected algebraic surfaces of positive index
• The topology of four-dimensional manifolds
• Simply connected minimal symplectic 4-manifolds with signature less than \(-1\)
• Exotic smooth structures on small 4-manifolds
• Exotic smooth structures on small 4-manifolds with odd signatures
• Small exotic 4-manifolds
• On the density of ratios of Chern classes of algebraic surfaces
• On the geography of surfaces - simply connected minimal surfaces with positive index
• On the geography of symplectic 6-manifolds
• Symplectic normal connect sum
• Surgery in cusp neighborhoods and the geography of irreducible 4-manifolds
• Luttinger surgery along Lagrangian tori and non-isotopy for singular symplectic plane curves
• The Seiberg-Witten invariants and symplectic forms
• A new construction of symplectic manifolds
• Lagrangian tori in \(\mathbb{R}^ 4\)
• Geography of spin surfaces
• Geography of simply connected nonspin symplectic 4-manifolds with positive signature
• Geography of simply connected spin symplectic 4-manifolds
• Chern slopes of simply connected complex surfaces of general type are dense in [2,3]
• A volume maximizing canonical surface in 3-space
• Reverse engineering small 4-manifolds
• The geography of irregular surfaces
• Zariski's conjecture and related problems
• Vector bundles on curves coming from variation of Hodge structures
• Minimality and symplectic sums
• Constructing infinitely many smooth structures on small 4-manifolds
• π₁ OF ELLIPTIC AND HYPERELLIPTIC SURFACES
• Smoothly embedded spheres in symplectic 4-manifolds
• The geography of irreducible 4-manifolds
• The geography problem for irreducible spin four-manifolds
• New exotic 4-manifolds via Luttinger surgery on Lefschetz fibrations
• Abelian covers of algebraic varieties.
• Note on new symplectic 4-manifolds with nonnegative signature

This page was built for publication: On the geography of simply connected nonspin symplectic 4-manifolds with nonnegative signature